Is it bad when they takeover some of the corporations in my country?

In general it is not bad at all. If you make sure your corporations are well developed, other players will have to pay a lot of money for them. The corporations remain in your country and they provide many jobs. They also pay taxes. General Motors in not owned by the US government but it employs many people and it pays taxes to the government.

The difference between a corporation you own and one you do not own is that the profit after tax does not belong to you but to the new owner. On the other hand, you receive billions in cash when the corporation is sold. You can pay back your own loans and reduce your interest payments. The money can also be used to improve other aspects of your economy.

It can be negative if the new owner closes the corporation. But even in that case, you just build another one for a small part of the money you received. There is no logic for a closure by a new owner and it nearly never happens. It is possible to turn the corporations that have a small market value into national industries and have only the very expensive ones be taken over.